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Семинар “Алгебра и логика”

1 юли 2022 @ 13:00 - 14:30

На 1 юли 2022 г. (петък) от 13:00 ч. ще се проведе дистанционно заседание на семинара по „Алгебра и логика”.

Доклад на тема:

On the parity of the coefficients of minimal polynomial of Kloosterman sums over Fp

ще изнесе Любомир Борисов.

Абстракт. Kloosterman sums over finite fields play an important role in “Algebraic Coding Theory” and “Cryptography”. E.g., they are related to some families of algebraic codes (Melas, Kloosterman) and (hyper-)bent functions. Particularly, the divisibility properties of some quantities connected with the Kloosterman sums, e.g., of minimal polynomial coefficients and power moments, were also investigated (see, e.g., [1]; [2]).

In this talk I shall present some results about the divisibility by 2 of the coefficients of minimal polynomials of the Kloosterman sums.
[1] M. Moisio, “On certain values of Kloosterman sums”, IEEE IT, vol. 55.8 (2009), 3563-3564.
[2] Choi H. T., R. Evans, “Congruences for Sums of Powers of Kloosterman Sums”, International Journal of Number Theory, vol. 3(1): 105-117, 2007.

 

Семинарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка:

https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09

Topic: Онлайн семинар на секция “Алгебра и логика”
Time: July 1, 2022 01:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647

От секция „Алгебра и логика” на ИМИ – БАН
http://www.math.bas.bg/algebra/seminarAiL/
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